In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
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The concept of systems of linear equations dates back to ancient civilizations such as Babylonians and Egyptians. However, the systematic study and formalization of solving systems of linear equations is attributed to the ancient Greek mathematician Euclid, who introduced the method of substitution and elimination in his work "Elements." Later mathematicians such as Gauss and Cramer made significant contributions to the theory and methods of solving systems of linear equations.
Oh, what a lovely question! To solve by Cramer's rule, you'll first calculate the determinant of the coefficient matrix, then create matrices by replacing the x-column with the constants and solving for the determinant of that matrix. Finally, you'll divide these determinants to find the values of x and y. Just like painting a happy little tree, take your time and follow each step with care.
There are several methods. 1. graphing, then find the intersection. 2. Substitution (take one equation and solve for one variable, substitute that into the 2nd equation) 3. Elimination. Arrange both equations in standard form, arrange so that the coefficients on one of the variables are the same and subtract the 2 equations. 4. Cramer's rule, use matrices to solve.
the rule is:keep adding double starting from 1